Atkin-Lehner |
2- 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270bm |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
4280640 |
Modular degree for the optimal curve |
Δ |
-5.427803826423E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1289021,-666080557] |
[a1,a2,a3,a4,a6] |
j |
-1957574688503070397849/448578828630000000 |
j-invariant |
L |
2.4497224426041 |
L(r)(E,1)/r! |
Ω |
0.069992074078204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270g1 |
Quadratic twists by: -11 |